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arXiv · 1901.04152

A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles

Jyh-Haur Teh·Chin-Jui Yang
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Abstract

We show that a $2k$-current $T$ on a complex manifold is a real holomorphic $k$-chain if and only if $T$ is locally real rectifiable, $d$-closed and has $\mathcal{H}^{2k}$-locally finite support. This result is applied to study homology classes represented by algebraic cycles.

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Jyh-Haur Teh, Chin-Jui Yang. 2019-01-14. A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles. https://arxiv.org/abs/1901.04152

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